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Alexandra [31]
3 years ago
6

Vextra Corporation is considering the purchase of new equipment costing $40,500. The projected annual cash inflow is $12,100, to

be received at the end of each year. The machine has a useful life of 4 years and no salvage value. Vextra requires a 12% return on its investments. The present value of an annuity of $1 for different periods follows:
Periods 12%
1 0.8929
2 1.6901
3 2.4018
4 3.0373


What is the net present value of the machine?

$(36,751).

$(3,000).

$40,500.

$6,751.

$(3,749).
Business
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

Net present value = $3,749  

so correct option is $3,749

Explanation:

given data

Present value of cash outflow = $40,500

annual cash inflow = $12,100

useful life = 4 years

rate on return = 12 %

present value of an annuity = $1

to find out

net present value

solution

we know here Present value annuity factor @12% for 4 years is given as

Present value annuity factor @12% for 4 years  = 3.0373

so we get here Present value of cash inflow that is express as

Present value of cash inflow = Annual cash flow × Present value annuity    .........................1

put here value we get

Present value of cash inflow = $12,100 × 3.0373

Present value of cash inflow = $36,751

so now we get Net present value that is express as

Net present value =  Present value of cash outflow - Present value of cash inflow    .................2

put here value we get

Net present value = $40,500 - $36,751

Net present value = $3,749  

so correct option is $3,749

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2 years ago
The more conservative a firm's management is, the higher its total debt to total capital ratio [measured as (Short-term debt Lon
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Answer:

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8 0
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A 30-year maturity bond making annual coupon payments with a coupon rate of 8.5% has duration of 12.88 years and convexity of 23
marin [14]

Answer:

a. Predicted Price = $1815.52

b. Predicted Price = $1,834.64

c. Predicted Price = $1425.4

Explanation:

The actual price of the bond as a function of yield to maturity is:

Yield to maturity --- Price

7% $1,620.45

8% $1,450.31

9% $1,308.21

a.

Using the Duration Rule, assuming yield to maturity falls to 6%:

Predicted price change = (-D/(1 + y)) * ∆y * Po

Where D = Duration = 12.88 years

y = YTM = 7%

∆y = 6% - 7% = -1%

Po = $1,620.45

So, Predicted Change = (-12.88/(1 + 0.07)) * -0.01 * 1,620.45

Predicted Change = 195.0597757009345

Predicted Change = $195.06 ----- Approximated

Therefore the new Predicted Price

= $1,620.46 + $195.06

= $1815.52

b.

Using Duration-with-Convexity Rule, assuming yield to maturity falls to 6%

Predicted price change

= [(-12.88/(1 + 0.07)) * (-0.01) + (½ * 235.95 * (-0.01²))] * 1,620.45

= 214.1770345759345

= $214.18 ------ Approximated

Therefore the new Predicted Price

= $1,620.46 + $214.18

= $1,834.64

c.

Using the Duration Rule, assuming yield to maturity rise to 8%:

Predicted price change = (-D/(1 + y)) * ∆y * Po

Where D = Duration = 12.88 years

y = YTM = 7%

∆y = 8% - 7% = 1%

Po = $1,620.45

So, Predicted Change = (-12.88/(1 + 0.07)) * 0.01 * 1,620.45

Predicted Change = -195.0597757009345

Predicted Change = -$195.06 ----- Approximated

Therefore the new Predicted Price

= $1,620.46 - $195.06

= $1425.4

4 0
3 years ago
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